Extensions 1→N→G→Q→1 with N=Q8 and Q=C5⋊C8

Direct product G=N×Q with N=Q8 and Q=C5⋊C8
dρLabelID
Q8×C5⋊C8320Q8xC5:C8320,1124

Semidirect products G=N:Q with N=Q8 and Q=C5⋊C8
extensionφ:Q→Out NdρLabelID
Q8⋊(C5⋊C8) = Dic5.12Q16φ: C5⋊C8/Dic5C2 ⊆ Out Q8320Q8:(C5:C8)320,268

Non-split extensions G=N.Q with N=Q8 and Q=C5⋊C8
extensionφ:Q→Out NdρLabelID
Q8.(C5⋊C8) = D4.(C5⋊C8)φ: C5⋊C8/Dic5C2 ⊆ Out Q81608Q8.(C5:C8)320,270
Q8.2(C5⋊C8) = C5⋊C16.C22φ: trivial image1608Q8.2(C5:C8)320,1129

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